What is the solution for (dy)/(dx)=sqrt(9x+y)-9 ?

The solution for (dy)/(dx)=sqrt(9x+y)-9 is y=(x^2+c_{1}^2)/4+(c_{1}x)/2-9x

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(dy)/(dx)=sqrt(9x+y)-9

\frac{d y}{d x} = 9 x + y - 9

y = \frac{x ^{2} + c _{1}^{2}}{4} + \frac{c _{1} x}{2} - 9 x

Solution steps

\frac{d y}{d x} = 9 x + y - 9

Solve using substitution:

y = \frac{x ^{2} + c _{1}^{2}}{4} + \frac{c _{1} x}{2} - 9 x

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What is the solution for (dy)/(dx)=sqrt(9x+y)-9 ?
The solution for (dy)/(dx)=sqrt(9x+y)-9 is y=(x^2+c_{1}^2)/4+(c_{1}x)/2-9x